Angle Complement 252159

1. **State the problem:** We need to find the measure of an angle given that it is 12 less than twice its complement. 2. **Define variables:** Let the angle be $x$ degrees. 3. **Recall the complement rule:** Two angles are complementary if their measures add up to $90$ degrees. So, the complement of $x$ is $90 - x$. 4. **Set up the equation:** The angle $x$ is 12 less than twice its complement, so: $$x = 2(90 - x) - 12$$ 5. **Simplify the equation:** $$x = 180 - 2x - 12$$ $$x = 168 - 2x$$ 6. **Solve for $x$:** Add $2x$ to both sides: $$x + 2x = 168$$ $$3x = 168$$ 7. **Divide both sides by 3:** $$\cancel{3}x = \cancel{3}56$$ $$x = 56$$ 8. **Answer:** The measure of the angle is $56$ degrees.